SOLUTION: If a chord 10 inches long is 5 inches from the center of a circle, find the radius of the circle.
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Question 552487: If a chord 10 inches long is 5 inches from the center of a circle, find the radius of the circle.
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Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
draw a circle and then draw a chord. Mark that chord as lenght 10.
The closest point of that chord to the center of the circle is the midpoint of the chord.
Draw a radius from the center of the circle through the midpoint of the chord.
Label the length from the center to the midpoint as 5.
Label the length from the point where the chord touches the circle to the midpoint as 5 (the chord lenght is 10. So half of that is 5)
Draw two radii from the center of the circle to the points where ends of the chord touches the circle.
Label those radii as R.
You now have right triangles with sides of 5 and 5. And a hypoteneus of length R.
Use the pathagorean theorem to solve for R
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